Online GCD Calculator is useful to find the GCD of 972, 645, 897, 960 quickly. Get the easiest ways to solve the greatest common divisor of 972, 645, 897, 960 i.e 3 in different methods as follows.
Given Input numbers are 972, 645, 897, 960
In the factoring method, we have to find the divisors of all numbers
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 897 :
The positive integer divisors of 897 that completely divides 897 are.
1, 3, 13, 23, 39, 69, 299, 897
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
GCD of numbers is the greatest common divisor
So, the GCD (972, 645, 897, 960) = 3.
Given numbers are 972, 645, 897, 960
The list of prime factors of all numbers are
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 645 are 3 x 5 x 43
Prime factors of 897 are 3 x 13 x 23
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 972, 645, 897, 960 is 3.
Given numbers are 972, 645, 897, 960
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(972, 645) = 208980
GCD(972, 645) = ( 972 x 645 ) / 208980
= 972 / 645
= 972
Step2:
LCM(3, 897) = 897
GCD(3, 897) = ( 3 x 897 ) / 897
= 3 / 897
= 3
Step3:
LCM(3, 960) = 960
GCD(3, 960) = ( 3 x 960 ) / 960
= 3 / 960
= 3
So, Greatest Common Divisor of 972, 645, 897, 960 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 972, 645, 897, 960
The greatest common divisor of numbers 972, 645, 897, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 645, 897, 960 is 3.
1. What is the GCD of 972, 645, 897, 960?
GCD of given numbers 972, 645, 897, 960 is 3
2. How to calculate the greatest common divisor of 972, 645, 897, 960?
We can find the highest common divisor of 972, 645, 897, 960 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 972, 645, 897, 960 i.e 3.
3. How can I use the GCD of 972, 645, 897, 960Calculator?
Out the numbers 972, 645, 897, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.